Del 72 - Encyclopedia of Mathematics and its Applications

Quantum Field Theory for Mathematicians

Inbunden, Engelska, 1999

AvRobin Ticciati,Iowa) Ticciati, Robin (Maharishi University of Management,R. Ticciati,G. -C Rota

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The approach to quantum field theory in this book is part way between building a mathematical model of the subject and presenting the mathematics that physicists actually use. It starts with the need to combine special relativity and quantum mechanics and culminates in a basic understanding of the standard model of electroweak and strong interactions. The book is divided into five parts: 1. Canonical quantization of scalar fields; 2. Weyl, Dirac and vector fields; 3. Functional integral quantization; 4. The standard model of the electroweak and strong interactions; 5. Renormalization. This should be a useful reference for anybody with interests in quantum theory and related areas of function theory, functional analysis, differential geometry or topological invariant theory.

Produktinformation

Utgivningsdatum1999-06-13
Mått156 x 234 x 38 mm
Vikt1 170 g
FormatInbunden
SpråkEngelska
SerieEncyclopedia of Mathematics and its Applications
Antal sidor716
FörlagCambridge University Press
ISBN9780521632652

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Kvantfysik inom Naturvetenskap och teknik
Tillämpad matematik inom Naturvetenskap och teknik
Fysik inom Naturvetenskap och teknik

1. Relativistic quantum mechanics; 2. Fock space, the scalar field and canonical quantization; 3. Symmetries, conserved currents and conserved quantities; 4. The scattering matrix and Feynmann diagrams; 5. Differential transition probabilities and predictions; 6. Representations of the Lorentz group; 7. Two-component scalar fields; 8. Four-component scalar fields; 9. Massive vector fields; 10. Reformulating scattering theory; 11. Functional integral quantization; 12. Quantization of gauge theories; 13. Anomalies of gauge theories; 14. SU(3) representation theory; 15. The structure of the standard model; 16. Hadrons, flavor symmetry and nucleon-pion interactions; 17. Tree-level applications of the standard model; 18. Regularization and renormalization; 19. Renormalization of QED; 20. Renormalization and preservation of symmetries; 21. The renormalization group equations.

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